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11765722816 = 26479913947
BaseRepresentation
bin10101111010100101…
…01010111011000000
31010100222021122110201
422331102222323000
5143044011112231
65223300134544
7564364664611
oct127522527300
933328248421
1011765722816
114a98497771
122344397454
131156768783
147d8875c08
1548cde5161
hex2bd4aaec0

11765722816 has 56 divisors (see below), whose sum is σ = 23874471936. Its totient is φ = 5750426880.

The previous prime is 11765722789. The next prime is 11765722873. The reversal of 11765722816 is 61822756711.

11765722816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2978955 + ... + 2982901.

It is an arithmetic number, because the mean of its divisors is an integer number (426329856).

Almost surely, 211765722816 is an apocalyptic number.

11765722816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11765722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937235968).

11765722816 is an abundant number, since it is smaller than the sum of its proper divisors (12108749120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11765722816 is an equidigital number, since it uses as much as digits as its factorization.

11765722816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4987 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The spelling of 11765722816 in words is "eleven billion, seven hundred sixty-five million, seven hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 991 1504 1982 3008 3947 3964 7894 7928 15788 15856 31576 31712 46577 63152 63424 93154 126304 185509 186308 252608 371018 372616 742036 745232 1484072 1490464 2968144 2980928 3911477 5936288 7822954 11872576 15645908 31291816 62583632 125167264 183839419 250334528 367678838 735357676 1470715352 2941430704 5882861408 11765722816